Analytical assessment based on radiative-magnetized nanomaterial viscoplastic flow configured by cylindrical regime with Darcy–Forchheimer porosity, Joule heating and chemical reaction

Nanotechnology has turn out to be a focal point, disseminating its stimulus across distinct realms of technology, science and industry, making its mark in our routine inhabits. Nanoparticles are deployed in numerous industries encompassing bio-fuels production, bio-remediation, coating, solar film, crops production, photonic crystals, material science, cosmetics and drugs because of their characteristics like higher reactivity, catalytical activity, morphology and higher adsorption capacity. In this theoretical investigation, analytical simulations are carried out for mixed convective viscoplastic nanomaterial configured by permeable elongating surface. Flow is electrically conducting and thermally radiative. Transportation expressions include multi-physical effects like Brownian diffusion, thermal source, thermophoresis and chemical reaction. Darcy–Forchheimer (D–F) porosity aspect for non-Newtonian (viscoplastic) model is introduced. Boundary-layer incompressible stretched flow is modeled deploying Prandtl’s concept. Relevant dimensionless variables are employed to obtain ordinary differential expressions from the partial ones and homotopy algorithm is deployed for computational analysis of such expressions. Consequences of dimensionless expressions occurring in transformed differential systems are evaluated via graphs. We noticed that increasing radiation factor engenders higher temperature. Besides the nanoparticles concentration diminishes when Brownian diffusion and solutal Biot factors are enlarged.